545966414010 has 96 divisors (see below), whose sum is σ = 1436030856000. Its totient is φ = 143898171648.

The previous prime is 545966413991. The next prime is 545966414011. The reversal of 545966414010 is 10414669545.

545966414010 is a `hidden beast` number, since 5 + 4 + 596 + 6 + 4 + 1 + 40 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (545966414011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22568101 + ... + 22592279.

It is an arithmetic number, because the mean of its divisors is an integer number (14958654750).

Almost surely, 2^545966414010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545966414010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718015428000).

545966414010 is an abundant number, since it is smaller than the sum of its proper divisors (890064441990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

545966414010 is a wasteful number, since it uses less digits than its factorization.

545966414010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27100 (or 27097 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 545966414010 in words is "five hundred forty-five billion, nine hundred sixty-six million, four hundred fourteen thousand, ten".